Thermal machines beyond the weak coupling regime
arXiv:1310.8349 · doi:10.1088/1367-2630/16/12/125009
Abstract
How much work can be extracted from a heat bath using a thermal machine? The study of this question has a very long tradition in statistical physics in the weak-coupling limit, applied to macroscopic systems. However, the assumption that thermal heat baths remain uncorrelated with physical systems at hand is less reasonable on the nano-scale and in the quantum setting. In this work, we establish a framework of work extraction in the presence of quantum correlations. We show in a mathematically rigorous and quantitative fashion that quantum correlations and entanglement emerge as a limitation to work extraction compared to what would be allowed by the second law of thermodynamics. At the heart of the approach are operations that capture naturally non-equilibrium dynamics encountered when putting physical systems into contact with each other. We discuss various limits that relate to known results and put our work into context of approaches to finite-time quantum thermodynamics.
28 pages, 1 figure
References in corpus (10)
- Thermalization and its mechanism for generic isolated quantum systems
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- The thermodynamic meaning of negative entropy
- Work extraction and thermodynamics for individual quantum systems
- An improved Landauer Principle with finite-size corrections
- Entanglement enhances cooling in microscopic quantum fridges
- Locality of temperature
- Work and energy gain of heat-pumped quantized amplifiers
- Thermodynamic anomalies in open quantum systems: Strong coupling effects in the isotropic XY model
- Extracting work from quantum systems
Cited by in corpus (54)
- Quantum many-body systems out of equilibrium
- Quantum Thermodynamics
- Experimental characterization of a spin quantum heat engine
- Extractable Work from Correlations
- First and Second Law of Thermodynamics at strong coupling
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Quantum thermal machines and batteries
- Performance of a quantum heat engine at strong reservoir coupling
- Thermodynamics of quantum systems under dynamical control
- Strong coupling corrections in quantum thermodynamics
- Thermodynamic length in open quantum systems
- Identifying optimal cycles in quantum thermal machines with reinforcement-learning
- Thermodynamic cost of creating correlations
- Work fluctuations in slow processes: quantum signatures and optimal control
- Strongly coupled quantum heat machines
- Quantum Engines and Refrigerators
- Energy Cost of Creating Quantum Coherence
- Repeated interactions and quantum stochastic thermodynamics at strong coupling
- Quantum work statistics close to equilibrium
- Geometric properties of adiabatic quantum thermal machines
- The thermodynamics of creating correlations: Limitations and optimal protocols
- Quantum heat machines equivalence and work extraction beyond Markovianity, and strong coupling via heat exchangers
- Most energetic passive states
- Second laws under control restrictions
- Out-of-equilibrium operation of a quantum heat engine: The cost of thermal coupling control
- Performance limits of multilevel and multipartite quantum heat machines
- Fundamental work cost of quantum processes
- Work and entropy production in generalised Gibbs ensembles
- Fundamental limitations to local energy extraction in quantum systems
- Experimental Activation of Strong Local Passive States with Quantum Information
- A quantum Otto engine with finite heat baths: energy, correlations, and degradation
- Cyclic quantum engines enhanced by strong bath coupling
- Imperfect Thermalizations Allow for Optimal Thermodynamic Processes
- The reaction coordinate mapping in quantum thermodynamics
- Quantum Otto cycle under strong coupling
- Work Extraction from a Single Energy Eigenstate
- Active energy transport and the role of symmetry breaking in microscopic power grid
- Strongly coupled quantum Otto cycle with single qubit bath
- Heat capacities of thermally manipulated mechanical oscillator at strong coupling
- Three heats in strongly coupled system and bath
- Entropy production of a small quantum system under strong coupling with an environment: A computational experiment
- Strong Coupling and non-Markovian Effects in the Statistical Notion of Temperature
- Quantum Carnot thermal machines re-examined: Definition of efficiency and the effects of strong coupling
- Structure of the Hamiltonian of mean force
- The second law of thermodynamics from concavity of energy eigenvalues
- Optimal linear cyclic quantum heat engines cannot benefit from strong coupling
- Anomalous flow in correlated quantum systems: No-go result and multiple-charge scenario
- Entanglement signature in quantum work statistics in the slow-driving regime
- Thermoelectric performance of nano junctions subjected to microwave driven spin-orbit coupling
- Taking the temperature of quantum many-body scars
- Quantum thermodynamics of single particle systems
- The second law of thermodynamics from concave energy in classical mechanics
- Work and heat exchanged during sudden quenches of strongly coupled quantum systems
- Temperature as perturbation in quantum mechanics